L10a153{0;0} - HFL and FL

details/L10a153_0_0_65c63eb0.json

F_L expansions

Newt(Δ_L) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle F_L

Newt(Δ_L) vertex	Exposing functional	Leading x-power	Leading q-power	Inversion datum	F_L
`(1/2, -2, -1)`	`(1/2, 1, 1)`	`x1^(-1/2)x2^(2)x3^(1)`	`q^(-3)`	`{"0": [-1, -1, -1, -1, -1, -1, -1, -1], "1": [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1], "2": [-1, -1, -1, -1, -1, -1, -1, -1]}`	(4q^(3) + 2q^(2) + 2q)x1^(-7/2)x2^(5)x3 + (-3q^(2) - 4q - 41 - q^(-1))x1^(-7/2)x2^(5)x3^(2) + (21 + 2q^(-1) + 2q^(-2))x1^(-7/2)x2^(5)x3^(3) + (-q^(-3))x1^(-7/2)x2^(5)x3^(4) + (-31 - q^(-1))x1^(-5/2)x2^(4)x3 + (2q^(-1) + 2q^(-2))x1^(-5/2)x2^(4)x3^(2) + (-q^(-3))x1^(-5/2)x2^(4)x3^(3) + (-2q^(2) - 4q - 81 - 2q^(-1))x1^(-5/2)x2^(5)x3 + (2q + 61 + 14q^(-1) + 8q^(-2) + 2q^(-3))x1^(-5/2)x2^(5)x3^(2) + (-2q^(-1) - 6q^(-2) - 8q^(-3) - 3q^(-4) - q^(-5))x1^(-5/2)x2^(5)x3^(3) + (2q^(-4) + q^(-5) + q^(-6))x1^(-5/2)x2^(5)x3^(4) + (2q^(-2))x1^(-3/2)x2^(3)x3 + (-q^(-3))x1^(-3/2)x2^(3)x3^(2) + (2q^(-1) + 4q^(-2))x1^(-3/2)x2^(4)x3 + (-2q^(-2) - 6q^(-3) - q^(-4))x1^(-3/2)x2^(4)x3^(2) + (2q^(-4) + q^(-5))x1^(-3/2)x2^(4)x3^(3) + (21 + 4q^(-1) + 6q^(-2))x1^(-3/2)x2^(5)x3 + (-2q^(-1) - 8q^(-2) - 13q^(-3) - 4q^(-4) - q^(-5))x1^(-3/2)x2^(5)x3^(2) + (4q^(-3) + 8q^(-4) + 6q^(-5) + q^(-6) + q^(-7))x1^(-3/2)x2^(5)x3^(3) + (-q^(-5) - 2q^(-6) - q^(-8))x1^(-3/2)x2^(5)x3^(4) + (-q^(-3))x1^(-1/2)x2^(2)x3 + (-2q^(-3))x1^(-1/2)x2^(3)x3 + (2q^(-4))x1^(-1/2)x2^(3)x3^(2) + (-3q^(-3))x1^(-1/2)x2^(4)x3 + (4q^(-4) + q^(-5))x1^(-1/2)x2^(4)x3^(2) + (-q^(-5) - q^(-6))x1^(-1/2)x2^(4)x3^(3) + (-4q^(-3))x1^(-1/2)x2^(5)x3 + (6q^(-4) + 2q^(-5) + q^(-6))x1^(-1/2)x2^(5)x3^(2) + (-2q^(-5) - 3q^(-6) - q^(-8))x1^(-1/2)x2^(5)x3^(3) + (q^(-7) - 2q^(-8) + q^(-9))x1^(-1/2)x2^(5)*x3^(4)
`(1/2, -2, -1)`	`(1/2, 1, 1)`	`x1^(-1/2)x2^(2)x3^(1)`	`q^(-3)`	`{"0": [1, -1, -1, -1, -1, -1, -1, -1], "1": [-1, -1, -1, -1, -1, -1, -1, -1, -1, 1], "2": [-1, -1, -1, -1, -1, -1, -1, -1]}`	(4q^(3) + 2q^(2) + 2q)x1^(-7/2)x2^(5)x3 + (-3q^(2) - 4q - 41 - q^(-1))x1^(-7/2)x2^(5)x3^(2) + (21 + 2q^(-1) + 2q^(-2))x1^(-7/2)x2^(5)x3^(3) + (-q^(-3))x1^(-7/2)x2^(5)x3^(4) + (-31 - q^(-1))x1^(-5/2)x2^(4)x3 + (2q^(-1) + 2q^(-2))x1^(-5/2)x2^(4)x3^(2) + (-q^(-3))x1^(-5/2)x2^(4)x3^(3) + (-2q^(2) - 4q - 81 - 2q^(-1))x1^(-5/2)x2^(5)x3 + (2q + 61 + 14q^(-1) + 8q^(-2) + 2q^(-3))x1^(-5/2)x2^(5)x3^(2) + (-2q^(-1) - 6q^(-2) - 8q^(-3) - 3q^(-4) - q^(-5))x1^(-5/2)x2^(5)x3^(3) + (2q^(-4) + q^(-5) + q^(-6))x1^(-5/2)x2^(5)x3^(4) + (2q^(-2))x1^(-3/2)x2^(3)x3 + (-q^(-3))x1^(-3/2)x2^(3)x3^(2) + (2q^(-1) + 4q^(-2))x1^(-3/2)x2^(4)x3 + (-2q^(-2) - 6q^(-3) - q^(-4))x1^(-3/2)x2^(4)x3^(2) + (2q^(-4) + q^(-5))x1^(-3/2)x2^(4)x3^(3) + (21 + 4q^(-1) + 6q^(-2))x1^(-3/2)x2^(5)x3 + (-2q^(-1) - 8q^(-2) - 13q^(-3) - 4q^(-4) - q^(-5))x1^(-3/2)x2^(5)x3^(2) + (4q^(-3) + 8q^(-4) + 6q^(-5) + q^(-6) + q^(-7))x1^(-3/2)x2^(5)x3^(3) + (-q^(-5) - 2q^(-6) - q^(-8))x1^(-3/2)x2^(5)x3^(4) + (-q^(-3))x1^(-1/2)x2^(2)x3 + (-2q^(-3))x1^(-1/2)x2^(3)x3 + (2q^(-4))x1^(-1/2)x2^(3)x3^(2) + (-3q^(-3))x1^(-1/2)x2^(4)x3 + (4q^(-4) + q^(-5))x1^(-1/2)x2^(4)x3^(2) + (-q^(-5) - q^(-6))x1^(-1/2)x2^(4)x3^(3) + (-4q^(-3))x1^(-1/2)x2^(5)x3 + (6q^(-4) + 2q^(-5) + q^(-6))x1^(-1/2)x2^(5)x3^(2) + (-2q^(-5) - 3q^(-6) - q^(-8))x1^(-1/2)x2^(5)x3^(3) + (q^(-7) - 2q^(-8) + q^(-9))x1^(-1/2)x2^(5)*x3^(4)
`(-1/2, 2, 1)`		`x1^(1/2)x2^(-2)x3^(-1)`	`q^(-3)`		(4q^(3) + 2q^(2) + 2q)x1^(7/2)x2^(-5)x3^(-1) + (-3q^(2) - 4q - 41 - q^(-1))x1^(7/2)x2^(-5)x3^(-2) + (21 + 2q^(-1) + 2q^(-2))x1^(7/2)x2^(-5)x3^(-3) + (-q^(-3))x1^(7/2)x2^(-5)x3^(-4) + (-31 - q^(-1))x1^(5/2)x2^(-4)x3^(-1) + (2q^(-1) + 2q^(-2))x1^(5/2)x2^(-4)x3^(-2) + (-q^(-3))x1^(5/2)x2^(-4)x3^(-3) + (-2q^(2) - 4q - 81 - 2q^(-1))x1^(5/2)x2^(-5)x3^(-1) + (2q + 61 + 14q^(-1) + 8q^(-2) + 2q^(-3))x1^(5/2)x2^(-5)x3^(-2) + (-2q^(-1) - 6q^(-2) - 8q^(-3) - 3q^(-4) - q^(-5))x1^(5/2)x2^(-5)x3^(-3) + (2q^(-4) + q^(-5) + q^(-6))x1^(5/2)x2^(-5)x3^(-4) + (2q^(-2))x1^(3/2)x2^(-3)x3^(-1) + (-q^(-3))x1^(3/2)x2^(-3)x3^(-2) + (2q^(-1) + 4q^(-2))x1^(3/2)x2^(-4)x3^(-1) + (-2q^(-2) - 6q^(-3) - q^(-4))x1^(3/2)x2^(-4)x3^(-2) + (2q^(-4) + q^(-5))x1^(3/2)x2^(-4)x3^(-3) + (21 + 4q^(-1) + 6q^(-2))x1^(3/2)x2^(-5)x3^(-1) + (-2q^(-1) - 8q^(-2) - 13q^(-3) - 4q^(-4) - q^(-5))x1^(3/2)x2^(-5)x3^(-2) + (4q^(-3) + 8q^(-4) + 6q^(-5) + q^(-6) + q^(-7))x1^(3/2)x2^(-5)x3^(-3) + (-q^(-5) - 2q^(-6) - q^(-8))x1^(3/2)x2^(-5)x3^(-4) + (-q^(-3))x1^(1/2)x2^(-2)x3^(-1) + (-2q^(-3))x1^(1/2)x2^(-3)x3^(-1) + (2q^(-4))x1^(1/2)x2^(-3)x3^(-2) + (-3q^(-3))x1^(1/2)x2^(-4)x3^(-1) + (4q^(-4) + q^(-5))x1^(1/2)x2^(-4)x3^(-2) + (-q^(-5) - q^(-6))x1^(1/2)x2^(-4)x3^(-3) + (-4q^(-3))x1^(1/2)x2^(-5)x3^(-1) + (6q^(-4) + 2q^(-5) + q^(-6))x1^(1/2)x2^(-5)x3^(-2) + (-2q^(-5) - 3q^(-6) - q^(-8))x1^(1/2)x2^(-5)x3^(-3) + (q^(-7) - 2q^(-8) + q^(-9))x1^(1/2)x2^(-5)*x3^(-4)

(1/2, -2, -1)

(1/2, 1, 1)

x1^(-1/2)x2^(2)x3^(1)

q^(-3)

{"0": [-1, -1, -1, -1, -1, -1, -1, -1], "1": [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1], "2": [-1, -1, -1, -1, -1, -1, -1, -1]}

(4*q^(3) + 2*q^(2) + 2*q)*x1^(-7/2)*x2^(5)*x3 + (-3*q^(2) - 4*q - 4*1 - q^(-1))*x1^(-7/2)*x2^(5)*x3^(2) + (2*1 + 2*q^(-1) + 2*q^(-2))*x1^(-7/2)*x2^(5)*x3^(3) + (-q^(-3))*x1^(-7/2)*x2^(5)*x3^(4) + (-3*1 - q^(-1))*x1^(-5/2)*x2^(4)*x3 + (2*q^(-1) + 2*q^(-2))*x1^(-5/2)*x2^(4)*x3^(2) + (-q^(-3))*x1^(-5/2)*x2^(4)*x3^(3) + (-2*q^(2) - 4*q - 8*1 - 2*q^(-1))*x1^(-5/2)*x2^(5)*x3 + (2*q + 6*1 + 14*q^(-1) + 8*q^(-2) + 2*q^(-3))*x1^(-5/2)*x2^(5)*x3^(2) + (-2*q^(-1) - 6*q^(-2) - 8*q^(-3) - 3*q^(-4) - q^(-5))*x1^(-5/2)*x2^(5)*x3^(3) + (2*q^(-4) + q^(-5) + q^(-6))*x1^(-5/2)*x2^(5)*x3^(4) + (2*q^(-2))*x1^(-3/2)*x2^(3)*x3 + (-q^(-3))*x1^(-3/2)*x2^(3)*x3^(2) + (2*q^(-1) + 4*q^(-2))*x1^(-3/2)*x2^(4)*x3 + (-2*q^(-2) - 6*q^(-3) - q^(-4))*x1^(-3/2)*x2^(4)*x3^(2) + (2*q^(-4) + q^(-5))*x1^(-3/2)*x2^(4)*x3^(3) + (2*1 + 4*q^(-1) + 6*q^(-2))*x1^(-3/2)*x2^(5)*x3 + (-2*q^(-1) - 8*q^(-2) - 13*q^(-3) - 4*q^(-4) - q^(-5))*x1^(-3/2)*x2^(5)*x3^(2) + (4*q^(-3) + 8*q^(-4) + 6*q^(-5) + q^(-6) + q^(-7))*x1^(-3/2)*x2^(5)*x3^(3) + (-q^(-5) - 2*q^(-6) - q^(-8))*x1^(-3/2)*x2^(5)*x3^(4) + (-q^(-3))*x1^(-1/2)*x2^(2)*x3 + (-2*q^(-3))*x1^(-1/2)*x2^(3)*x3 + (2*q^(-4))*x1^(-1/2)*x2^(3)*x3^(2) + (-3*q^(-3))*x1^(-1/2)*x2^(4)*x3 + (4*q^(-4) + q^(-5))*x1^(-1/2)*x2^(4)*x3^(2) + (-q^(-5) - q^(-6))*x1^(-1/2)*x2^(4)*x3^(3) + (-4*q^(-3))*x1^(-1/2)*x2^(5)*x3 + (6*q^(-4) + 2*q^(-5) + q^(-6))*x1^(-1/2)*x2^(5)*x3^(2) + (-2*q^(-5) - 3*q^(-6) - q^(-8))*x1^(-1/2)*x2^(5)*x3^(3) + (q^(-7) - 2*q^(-8) + q^(-9))*x1^(-1/2)*x2^(5)*x3^(4)

(1/2, -2, -1)

(1/2, 1, 1)

x1^(-1/2)x2^(2)x3^(1)

q^(-3)

{"0": [1, -1, -1, -1, -1, -1, -1, -1], "1": [-1, -1, -1, -1, -1, -1, -1, -1, -1, 1], "2": [-1, -1, -1, -1, -1, -1, -1, -1]}

(4*q^(3) + 2*q^(2) + 2*q)*x1^(-7/2)*x2^(5)*x3 + (-3*q^(2) - 4*q - 4*1 - q^(-1))*x1^(-7/2)*x2^(5)*x3^(2) + (2*1 + 2*q^(-1) + 2*q^(-2))*x1^(-7/2)*x2^(5)*x3^(3) + (-q^(-3))*x1^(-7/2)*x2^(5)*x3^(4) + (-3*1 - q^(-1))*x1^(-5/2)*x2^(4)*x3 + (2*q^(-1) + 2*q^(-2))*x1^(-5/2)*x2^(4)*x3^(2) + (-q^(-3))*x1^(-5/2)*x2^(4)*x3^(3) + (-2*q^(2) - 4*q - 8*1 - 2*q^(-1))*x1^(-5/2)*x2^(5)*x3 + (2*q + 6*1 + 14*q^(-1) + 8*q^(-2) + 2*q^(-3))*x1^(-5/2)*x2^(5)*x3^(2) + (-2*q^(-1) - 6*q^(-2) - 8*q^(-3) - 3*q^(-4) - q^(-5))*x1^(-5/2)*x2^(5)*x3^(3) + (2*q^(-4) + q^(-5) + q^(-6))*x1^(-5/2)*x2^(5)*x3^(4) + (2*q^(-2))*x1^(-3/2)*x2^(3)*x3 + (-q^(-3))*x1^(-3/2)*x2^(3)*x3^(2) + (2*q^(-1) + 4*q^(-2))*x1^(-3/2)*x2^(4)*x3 + (-2*q^(-2) - 6*q^(-3) - q^(-4))*x1^(-3/2)*x2^(4)*x3^(2) + (2*q^(-4) + q^(-5))*x1^(-3/2)*x2^(4)*x3^(3) + (2*1 + 4*q^(-1) + 6*q^(-2))*x1^(-3/2)*x2^(5)*x3 + (-2*q^(-1) - 8*q^(-2) - 13*q^(-3) - 4*q^(-4) - q^(-5))*x1^(-3/2)*x2^(5)*x3^(2) + (4*q^(-3) + 8*q^(-4) + 6*q^(-5) + q^(-6) + q^(-7))*x1^(-3/2)*x2^(5)*x3^(3) + (-q^(-5) - 2*q^(-6) - q^(-8))*x1^(-3/2)*x2^(5)*x3^(4) + (-q^(-3))*x1^(-1/2)*x2^(2)*x3 + (-2*q^(-3))*x1^(-1/2)*x2^(3)*x3 + (2*q^(-4))*x1^(-1/2)*x2^(3)*x3^(2) + (-3*q^(-3))*x1^(-1/2)*x2^(4)*x3 + (4*q^(-4) + q^(-5))*x1^(-1/2)*x2^(4)*x3^(2) + (-q^(-5) - q^(-6))*x1^(-1/2)*x2^(4)*x3^(3) + (-4*q^(-3))*x1^(-1/2)*x2^(5)*x3 + (6*q^(-4) + 2*q^(-5) + q^(-6))*x1^(-1/2)*x2^(5)*x3^(2) + (-2*q^(-5) - 3*q^(-6) - q^(-8))*x1^(-1/2)*x2^(5)*x3^(3) + (q^(-7) - 2*q^(-8) + q^(-9))*x1^(-1/2)*x2^(5)*x3^(4)

(-1/2, 2, 1)

x1^(1/2)x2^(-2)x3^(-1)

q^(-3)

(4*q^(3) + 2*q^(2) + 2*q)*x1^(7/2)*x2^(-5)*x3^(-1) + (-3*q^(2) - 4*q - 4*1 - q^(-1))*x1^(7/2)*x2^(-5)*x3^(-2) + (2*1 + 2*q^(-1) + 2*q^(-2))*x1^(7/2)*x2^(-5)*x3^(-3) + (-q^(-3))*x1^(7/2)*x2^(-5)*x3^(-4) + (-3*1 - q^(-1))*x1^(5/2)*x2^(-4)*x3^(-1) + (2*q^(-1) + 2*q^(-2))*x1^(5/2)*x2^(-4)*x3^(-2) + (-q^(-3))*x1^(5/2)*x2^(-4)*x3^(-3) + (-2*q^(2) - 4*q - 8*1 - 2*q^(-1))*x1^(5/2)*x2^(-5)*x3^(-1) + (2*q + 6*1 + 14*q^(-1) + 8*q^(-2) + 2*q^(-3))*x1^(5/2)*x2^(-5)*x3^(-2) + (-2*q^(-1) - 6*q^(-2) - 8*q^(-3) - 3*q^(-4) - q^(-5))*x1^(5/2)*x2^(-5)*x3^(-3) + (2*q^(-4) + q^(-5) + q^(-6))*x1^(5/2)*x2^(-5)*x3^(-4) + (2*q^(-2))*x1^(3/2)*x2^(-3)*x3^(-1) + (-q^(-3))*x1^(3/2)*x2^(-3)*x3^(-2) + (2*q^(-1) + 4*q^(-2))*x1^(3/2)*x2^(-4)*x3^(-1) + (-2*q^(-2) - 6*q^(-3) - q^(-4))*x1^(3/2)*x2^(-4)*x3^(-2) + (2*q^(-4) + q^(-5))*x1^(3/2)*x2^(-4)*x3^(-3) + (2*1 + 4*q^(-1) + 6*q^(-2))*x1^(3/2)*x2^(-5)*x3^(-1) + (-2*q^(-1) - 8*q^(-2) - 13*q^(-3) - 4*q^(-4) - q^(-5))*x1^(3/2)*x2^(-5)*x3^(-2) + (4*q^(-3) + 8*q^(-4) + 6*q^(-5) + q^(-6) + q^(-7))*x1^(3/2)*x2^(-5)*x3^(-3) + (-q^(-5) - 2*q^(-6) - q^(-8))*x1^(3/2)*x2^(-5)*x3^(-4) + (-q^(-3))*x1^(1/2)*x2^(-2)*x3^(-1) + (-2*q^(-3))*x1^(1/2)*x2^(-3)*x3^(-1) + (2*q^(-4))*x1^(1/2)*x2^(-3)*x3^(-2) + (-3*q^(-3))*x1^(1/2)*x2^(-4)*x3^(-1) + (4*q^(-4) + q^(-5))*x1^(1/2)*x2^(-4)*x3^(-2) + (-q^(-5) - q^(-6))*x1^(1/2)*x2^(-4)*x3^(-3) + (-4*q^(-3))*x1^(1/2)*x2^(-5)*x3^(-1) + (6*q^(-4) + 2*q^(-5) + q^(-6))*x1^(1/2)*x2^(-5)*x3^(-2) + (-2*q^(-5) - 3*q^(-6) - q^(-8))*x1^(1/2)*x2^(-5)*x3^(-3) + (q^(-7) - 2*q^(-8) + q^(-9))*x1^(1/2)*x2^(-5)*x3^(-4)

Braid

Braid word	Components	Crossings	Strands
`[-2, -2, -2, -3, -3, -2, -2, -2, 3, -1, 2, -3, -1]`	3	13	4

Multivariable Alexander polynomial

Δ_L
`2A1^(1/2)A2A3 - A1^(1/2)A2 - 2A1^(1/2)A3 + 3A1^(1/2) - A1^(1/2)A3^(-1) - 2A1^(1/2)A2^(-1) + 2A1^(1/2)A2^(-1)A3^(-1) - A1^(1/2)A2^(-2)A3^(-1) + A1^(-1/2)A2^(2)A3 - 2A1^(-1/2)A2A3 + 2A1^(-1/2)A2 + A1^(-1/2)A3 - 3A1^(-1/2) + 2A1^(-1/2)A3^(-1) + A1^(-1/2)A2^(-1) - 2A1^(-1/2)A2^(-1)A3^(-1)`

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for F_L.

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Dual Thurston polytope

Vertex	Dual to fibered face
`(1, 0, 2)`	no
`(1, 0, -2)`	yes
`(-1, 0, -2)`	no
`(1, 2, 0)`	yes
`(-1, -2, -2)`	no
`(1, -4, -2)`	yes
`(1, 2, 2)`	no
`(-1, 4, 2)`	yes
`(-1, -2, 0)`	yes
`(-1, 0, 2)`	yes

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HFL polytope

Poincaré polynomial
2m^(-2)A1^(-1)A2^(-3/2)A3^(-3/2) + m^(-2)A2^(-5/2)A3^(-3/2) + 3m^(-1)A1^(-1)A2^(-3/2)A3^(-1/2) + 4m^(-1)A1^(-1)A2^(-1/2)A3^(-3/2) + m^(-1)A2^(-5/2)A3^(-1/2) + 5m^(-1)A2^(-3/2)A3^(-3/2) + m^(-1)A1A2^(-5/2)A3^(-3/2) + A1^(-1)A2^(-3/2)A3^(1/2) + 8A1^(-1)A2^(-1/2)A3^(-1/2) + 2A1^(-1)A2^(1/2)A3^(-3/2) + 8A2^(-3/2)A3^(-1/2) + 7A2^(-1/2)A3^(-3/2) + A1A2^(-5/2)A3^(-1/2) + 3A1A2^(-3/2)A3^(-3/2) + 5mA1^(-1)A2^(-1/2)A3^(1/2) + 7mA1^(-1)A2^(1/2)A3^(-1/2) + 3mA2^(-3/2)A3^(1/2) + 16mA2^(-1/2)A3^(-1/2) + 3mA2^(1/2)A3^(-3/2) + 5mA1A2^(-3/2)A3^(-1/2) + 3mA1A2^(-1/2)A3^(-3/2) + m^2A1^(-1)A2^(-1/2)A3^(3/2) + 8m^2A1^(-1)A2^(1/2)A3^(1/2) + 2m^2A1^(-1)A2^(3/2)A3^(-1/2) + 12m^2A2^(-1/2)A3^(1/2) + 12m^2A2^(1/2)A3^(-1/2) + 2m^2A1A2^(-3/2)A3^(1/2) + 8m^2A1A2^(-1/2)A3^(-1/2) + m^2A1A2^(1/2)A3^(-3/2) + 3m^3A1^(-1)A2^(1/2)A3^(3/2) + 5m^3A1^(-1)A2^(3/2)A3^(1/2) + 3m^3A2^(-1/2)A3^(3/2) + 16m^3A2^(1/2)A3^(1/2) + 3m^3A2^(3/2)A3^(-1/2) + 7m^3A1A2^(-1/2)A3^(1/2) + 5m^3A1A2^(1/2)A3^(-1/2) + 3m^4A1^(-1)A2^(3/2)A3^(3/2) + m^4A1^(-1)A2^(5/2)A3^(1/2) + 7m^4A2^(1/2)A3^(3/2) + 8m^4A2^(3/2)A3^(1/2) + 2m^4A1A2^(-1/2)A3^(3/2) + 8m^4A1A2^(1/2)A3^(1/2) + m^4A1A2^(3/2)A3^(-1/2) + m^5A1^(-1)A2^(5/2)A3^(3/2) + 5m^5A2^(3/2)A3^(3/2) + m^5A2^(5/2)A3^(1/2) + 4m^5A1A2^(1/2)A3^(3/2) + 3m^5A1A2^(3/2)A3^(1/2) + m^6A2^(5/2)A3^(3/2) + 2m^6A1A2^(3/2)*A3^(3/2)

Vertex	Maslov	Rank
`(-1, -3/2, -3/2)`	-2	2
`(-1, -3/2, 1/2)`	0	1
`(-1, -1/2, 3/2)`	2	1
`(-1, 1/2, -3/2)`	0	2
`(-1, 5/2, 1/2)`	4	1
`(-1, 5/2, 3/2)`	5	1
`(0, -5/2, -3/2)`	-2	1
`(0, -5/2, -1/2)`	-1	1
`(0, 5/2, 1/2)`	5	1
`(0, 5/2, 3/2)`	6	1
`(1, -5/2, -3/2)`	-1	1
`(1, -5/2, -1/2)`	0	1
`(1, -1/2, 3/2)`	4	2
`(1, 1/2, -3/2)`	2	1
`(1, 3/2, -1/2)`	4	1
`(1, 3/2, 3/2)`	6	2

Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

`orderOption(int)`	`2117`
`namestring`	`L10a153{0;0}`
`statusstring`	`success`
`slugstring`	`L10a153_0_0_65c63eb0`
`result_filestring`	`details/L10a153_0_0_65c63eb0.json`
`complexity_scoreOption(int)`	`300`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`10`
`component_countOption(int)`	`3`
`girthOption(int)`	`6`
`total_rankOption(int)`	`224`
`wall_secondsOption(float)`	`0.002457`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`3`
`support_sizeOption(int)`	`50`
`vertex_countOption(int)`	`16`
`fibered_vertex_countOption(int)`	`6`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`16`
`alexander_vertex_countOption(int)`	`10`
`alexander_relationstring`	`not_computed`
`fk_countint`	`2`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L10a153_0_0_65c63eb0" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L10a153_0_0_65c63eb0`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions